报告问题(Title)：ADAPTIVE COMPUTATION OF FOURTH-ORDER PROBLEMS (四阶问题的自顺应盘算)

报告人 (Speaker)：Carsten Carstensen 教授（德国洪堡大学）

报告时间 (Time)：2024年9月29日(周二) 13:00-14:00

报告所在 (Place)：校本部F309

约请人(Inviter)：刘东杰 教授

主理部分：理学院数学系

报告摘要：

The popular (piecewise) quadratic schemes for the fourth-order plate bending problems based on triangles are the nonconforming Morley finite element, two discontinuous Galerkin, the C0 interior penalty, and the WOPSIP schemes. The first part of the presentation discusses recent applications to the linear bi-Laplacian and to semi-linear fourth-order problems like the stream function vorticity formulation ofincompressible 2D Navier-Stokes problem and the von K?arm?an plate bending problem. The role of a smoother is emphasised and reliable and efficient a posteriori error estimators give rise to adaptive mesh-refining strategies that recover optimal rates in numerical experiments. The last part addresses recent developments on adaptive multilevel Argyris finite element methods.